%0 Journal Article
%T 正合零因子下模的Gorenstein同调维数<br>Gorenstein homological dimensions of modules under exact zero-divisors
%A 郭寿桃
%A 王占平&lt
%A br&gt
%A GUO Shou-tao
%A WANG Zhan-ping
%J 山东大学学报（理学版）
%D 2018
%R 10.6040/j.issn.1671-9352.0.2017.576
%X 摘要： 设R是具有单位元的交换Noether环,x是R上的正合零因子。研究了正合零因子下模的Gorenstein同调维数,证明了若M是Gorenstein投射(内射,平坦)R-模,则M/xM是Gorenstein投射(内射,平坦)R/xR-模,得到了有关维数的结论。对Ding投射(内射)R-模可得类似的结论。<br>Abstract: Let R be a commutative Noetherian ring with identity, x be an exact zero-divisor over R. Gorenstein homological dimensions of modules under exact zero-divisors are investigated. M/xM is Gorenstein projective(injective, flat)R/xR-module if M is Gorenstein projective(injective, flat)R-module, the results of corresponding dimensions are gained. The result can also be obtained for Ding projective(injective)R- modules
%K 正合零因子
%K Gorenstein投射(内射
%K 平坦)模
%K Gorenstein投射(内射
%K 平坦)维数
%K &lt
%K br&gt
%K Gorenstein projective(injective
%K flat)modules
%K Gorenstein projective(injective
%K flat)dimensions
%K exact zero-divisors
%U http://lxbwk.njournal.sdu.edu.cn/CN/10.6040/j.issn.1671-9352.0.2017.576